Question

16. Data are provided below for the body fat percentage of 40 males working at a local company. 42.6 48.5 26.9 41.7 32.6 32.4 47 37.5 36.9 37.8 27.8 30.1 37.5 36.5 39 44.6 29.6 20.6 28.1 43.1 40.4 31.3 20.5 40.9 44.5 39 26.1 41.3 43.5 28.7 39.1 5.6 42.8 44.7 36.3 42.2 34.2 42.2 32.4 33.8 Use the above data to fill in the frequency distribution shown below: % Body Fat Frequency 4 - 9.9 10 – 15.9 16-21.9 22 - 27.9 28-33.9 34 - 39.9 40 - 45.9 46 - 51.9 18. Describe the distribution displayed in your histogram from problem 17. Use correct grammar, punctuation, and complete sentences in your descriptions. 19. Lifetimes of a certain brand of tires are approximately normally distributed with mean 40,000 miles and standard deviation 2,500 miles. What is the probability that the tires last less than 37,000 miles? 20. Lifetimes of a certain brand of tires are approximately normally distributed with mean 40,000 miles and standard deviation 2,500 miles. If the company making the tires did not want to replace more than 1% of the tires, what is the lowest mileage the company should make for the warranty? 21. On a math test, there are 10 questions on the test. Each question has 4 possible answers. What is the binomial probability that you can pass the test (minimum grade of 60%) if each question is guessed? 22. On a math test, there are 10 questions on the test. Each question has 5 possible answers. What is the binomial probability that you can make an A (minimum grade of 90%) if each question is guessed?

Answer 1

10-16 of 0-18 019 % Body fat Tally marks frequency 4-10 1o-16 16-22 I/ 2 22-28 111 3 28-34 Hull 34 - 40 LITHI 10 Yo 46 HHH !!! 13 46-52 II 2 40 Rroblem it is not quien het xy denete the lefe tenie tue of XUN ( 402 erm_, (2500) Prob L x <37000] = P[x-ll 237000-yojeru - Plz Prob z<-112] =0.5-Ⓡ 12<Z CO] = 0.5 - 8.3 849 801151 XUN (404000, (25).] Prob [ z L21) 0.01 Z - 60040 0.5-Pfz'czco) 2001 =) 2 = 648 12 = -2.33 pfzczeo)_ 0.49 x-u Do 2-33 21 = -2.33 2500 z < -3000 2500 Q 20 X - 401000 Oct - 2-33 250 -2.33 X 2500 x = coors X200 + 40.000 s 399375 X=34175 The lowest mulage Should make for warranty 134275 miles company

6 n=10 Probl that answer is correct) - 1/4 20-25 P = 0.25 q=1-025 = 0.75 Meinmum grade of 60% loxo = 6 Ques - min Questions should be Correct Let X denote the number of Correct Onestion outflo P(X 716) 1-P(X<5) = 1- & 10 Cyx Pxght = 1 { 10 Cx (0.25 (075) = -0.9803 0.0197 P = 1/5 = 0.2 q = 1-P 21-0.2 PEX 7,9) - 1-P { x=8] - 1 & 10 (0.2% (0.8) -1-0.99999 = 7 5 X=0 to-t 022 0.00001